82125006 has 16 divisors (see below), whose sum is σ = 164343504. Its totient is φ = 27359424.

The previous prime is 82124993. The next prime is 82125007. The reversal of 82125006 is 60052128.

It is a super-2 number, since 2×82125006² = 13489033221000072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82125007) 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, 13506 + ... + 18618.

It is an arithmetic number, because the mean of its divisors is an integer number (10271469).

Almost surely, 2^82125006 is an apocalyptic number.

82125006 is an abundant number, since it is smaller than the sum of its proper divisors (82218498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82125006 is a wasteful number, since it uses less digits than its factorization.

82125006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 82125006 is about 9062.2848112383. The cubic root of 82125006 is about 434.6688032575.

The spelling of 82125006 in words is "eighty-two million, one hundred twenty-five thousand, six".