97251 has 16 divisors (see below), whose sum is σ = 162048. Its totient is φ = 50400.

The previous prime is 97241. The next prime is 97259. The reversal of 97251 is 15279.

It is not a de Polignac number, because 97251 - 2⁶ = 97187 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97251.

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 15 ways as a sum of consecutive naturals, for example, 21 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (10128).

2⁹⁷²⁵¹ is an apocalyptic number.

97251 is a deficient number, since it is larger than the sum of its proper divisors (64797).

97251 is a wasteful number, since it uses less digits than its factorization.

97251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442.

The product of its digits is 630, while the sum is 24.

The square root of 97251 is about 311.8509259246. The cubic root of 97251 is about 45.9866060563.

It can be divided in two parts, 9 and 7251, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 97251 in words is "ninety-seven thousand, two hundred fifty-one".