97257 has 8 divisors (see below), whose sum is σ = 137376. Its totient is φ = 60992.

The previous prime is 97241. The next prime is 97259. The reversal of 97257 is 75279.

97257 = T₅₈ + T₅₉ + ... + T₉₁.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 97257 - 2⁴ = 97241 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97257.

It is not an unprimeable number, because it can be changed into a prime (97259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 903 + ... + 1004.

It is an arithmetic number, because the mean of its divisors is an integer number (17172).

2⁹⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

97257 is a deficient number, since it is larger than the sum of its proper divisors (40119).

97257 is a wasteful number, since it uses less digits than its factorization.

97257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927.

The product of its digits is 4410, while the sum is 30.

The square root of 97257 is about 311.8605457572. The cubic root of 97257 is about 45.9875517671.

The spelling of 97257 in words is "ninety-seven thousand, two hundred fifty-seven".