82415407 has 8 divisors (see below), whose sum is σ = 87852800. Its totient is φ = 77088024.

The previous prime is 82415401. The next prime is 82415429. The reversal of 82415407 is 70451428.

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

It is a cyclic number.

It is not a de Polignac number, because 82415407 - 2¹⁵ = 82382639 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82415401) 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, 25953 + ... + 28954.

It is an arithmetic number, because the mean of its divisors is an integer number (10981600).

Almost surely, 2^82415407 is an apocalyptic number.

82415407 is a deficient number, since it is larger than the sum of its proper divisors (5437393).

82415407 is a wasteful number, since it uses less digits than its factorization.

82415407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55005.

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 82415407 is about 9078.2931765834. The cubic root of 82415407 is about 435.1805424880.

The spelling of 82415407 in words is "eighty-two million, four hundred fifteen thousand, four hundred seven".