61412085 has 96 divisors (see below), whose sum is σ = 132587520. Its totient is φ = 25660800.

The previous prime is 61412083. The next prime is 61412101. The reversal of 61412085 is 58021416.

It is not a de Polignac number, because 61412085 - 2¹ = 61412083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61412083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185370 + ... + 185700.

It is an arithmetic number, because the mean of its divisors is an integer number (1381120).

Almost surely, 2^61412085 is an apocalyptic number.

It is an amenable number.

61412085 is an abundant number, since it is smaller than the sum of its proper divisors (71175435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61412085 is a wasteful number, since it uses less digits than its factorization.

61412085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 61412085 is about 7836.5863103778. The cubic root of 61412085 is about 394.5341621541.

The spelling of 61412085 in words is "sixty-one million, four hundred twelve thousand, eighty-five".