97827957 has 24 divisors (see below), whose sum is σ = 145650648. Its totient is φ = 63244800.

The previous prime is 97827943. The next prime is 97827997. The reversal of 97827957 is 75972879.

It can be written as a sum of positive squares in 4 ways, for example, as 1179396 + 96648561 = 1086^2 + 9831^2 .

It is not a de Polignac number, because 97827957 - 2¹¹ = 97825909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97827997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38857 + ... + 41297.

It is an arithmetic number, because the mean of its divisors is an integer number (6068777).

Almost surely, 2^97827957 is an apocalyptic number.

It is an amenable number.

97827957 is a deficient number, since it is larger than the sum of its proper divisors (47822691).

97827957 is a wasteful number, since it uses less digits than its factorization.

97827957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2578 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 97827957 is about 9890.8016358635. The cubic root of 97827957 is about 460.7736775374.

The spelling of 97827957 in words is "ninety-seven million, eight hundred twenty-seven thousand, nine hundred fifty-seven".