141586201 has 9 divisors (see below), whose sum is σ = 144438399. Its totient is φ = 138789936.

The previous prime is 141586189. The next prime is 141586213. The reversal of 141586201 is 102685141.

The square root of 141586201 is 11899.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (141586189) and next prime (141586213).

It can be written as a sum of positive squares in only one way, i.e., 80371225 + 61214976 = 8965^2 + 7824^2 .

It is not a de Polignac number, because 141586201 - 2⁷ = 141586073 is a prime.

It is a super-2 number, since 2×141586201² = 40093304627224802, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 141586201.

It is not an unprimeable number, because it can be changed into a prime (141586261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 868546 + ... + 868708.

It is an arithmetic number, because the mean of its divisors is an integer number (16048711).

Almost surely, 2^141586201 is an apocalyptic number.

141586201 is the 11899-th square number.

141586201 is the 5950-th centered octagonal number.

It is an amenable number.

141586201 is a deficient number, since it is larger than the sum of its proper divisors (2852198).

141586201 is an frugal number, since it uses more digits than its factorization.

141586201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The cubic root of 141586201 is about 521.2030834558.

It can be divided in two parts, 1415 and 86201, that added together give a square (87616 = 296²).

The spelling of 141586201 in words is "one hundred forty-one million, five hundred eighty-six thousand, two hundred one".