82087875 has 48 divisors (see below), whose sum is σ = 149374368. Its totient is φ = 43368000.

The previous prime is 82087871. The next prime is 82087879. The reversal of 82087875 is 57878028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82087871) and next prime (82087879).

It is not a de Polignac number, because 82087875 - 2² = 82087871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82087875.

It is not an unprimeable number, because it can be changed into a prime (82087871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147097 + ... + 147653.

It is an arithmetic number, because the mean of its divisors is an integer number (3111966).

Almost surely, 2^82087875 is an apocalyptic number.

82087875 is a deficient number, since it is larger than the sum of its proper divisors (67286493).

82087875 is a wasteful number, since it uses less digits than its factorization.

82087875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 82087875 is about 9060.2359240806. The cubic root of 82087875 is about 434.6032847627.

The spelling of 82087875 in words is "eighty-two million, eighty-seven thousand, eight hundred seventy-five".