82351257 has 8 divisors (see below), whose sum is σ = 110539200. Its totient is φ = 54532080.

The previous prime is 82351253. The next prime is 82351261. The reversal of 82351257 is 75215328.

It is an interprime number because it is at equal distance from previous prime (82351253) and next prime (82351261).

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

It is not a de Polignac number, because 82351257 - 2² = 82351253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82351253) 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, 91669 + ... + 92562.

It is an arithmetic number, because the mean of its divisors is an integer number (13817400).

Almost surely, 2^82351257 is an apocalyptic number.

It is an amenable number.

82351257 is a deficient number, since it is larger than the sum of its proper divisors (28187943).

82351257 is a wasteful number, since it uses less digits than its factorization.

82351257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184383.

The product of its digits is 16800, while the sum is 33.

The square root of 82351257 is about 9074.7593356518. The cubic root of 82351257 is about 435.0676021241.

The spelling of 82351257 in words is "eighty-two million, three hundred fifty-one thousand, two hundred fifty-seven".