82815825 has 24 divisors (see below), whose sum is σ = 137196576. Its totient is φ = 44080000.

The previous prime is 82815809. The next prime is 82815841. The reversal of 82815825 is 52851828.

It is an interprime number because it is at equal distance from previous prime (82815809) and next prime (82815841).

It is not a de Polignac number, because 82815825 - 2⁴ = 82815809 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56350 + ... + 57800.

It is an arithmetic number, because the mean of its divisors is an integer number (5716524).

Almost surely, 2^82815825 is an apocalyptic number.

It is an amenable number.

82815825 is a deficient number, since it is larger than the sum of its proper divisors (54380751).

82815825 is a wasteful number, since it uses less digits than its factorization.

82815825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2220 counting only the distinct ones).

The product of its digits is 51200, while the sum is 39.

The square root of 82815825 is about 9100.3200493169. The cubic root of 82815825 is about 435.8841838805.

It can be divided in two parts, 828 and 15825, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 82815825 in words is "eighty-two million, eight hundred fifteen thousand, eight hundred twenty-five".