93969 has 12 divisors (see below), whose sum is σ = 138996. Its totient is φ = 61152.

The previous prime is 93967. The next prime is 93971. The reversal of 93969 is 96939.

It is an interprime number because it is at equal distance from previous prime (93967) and next prime (93971).

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 11025 = 288^2 + 105^2 .

It is not a de Polignac number, because 93969 - 2¹ = 93967 is a prime.

It is a super-2 number, since 2×93969² = 17660345922, which contains 22 as substring.

It is an Ulam number.

93969 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (93967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (11583).

2⁹³⁹⁶⁹ is an apocalyptic number.

It is an amenable number.

93969 is a deficient number, since it is larger than the sum of its proper divisors (45027).

93969 is a wasteful number, since it uses less digits than its factorization.

93969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 93969 is about 306.5436347406. The cubic root of 93969 is about 45.4633605934.

It can be divided in two parts, 9 and 3969, that multiplied together give a square (35721 = 189²).

The spelling of 93969 in words is "ninety-three thousand, nine hundred sixty-nine".