82332567 has 24 divisors (see below), whose sum is σ = 125573760. Its totient is φ = 51837840.

The previous prime is 82332563. The next prime is 82332611. The reversal of 82332567 is 76523328.

It is not a de Polignac number, because 82332567 - 2² = 82332563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82332563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79342 + ... + 80372.

It is an arithmetic number, because the mean of its divisors is an integer number (5232240).

Almost surely, 2^82332567 is an apocalyptic number.

82332567 is a deficient number, since it is larger than the sum of its proper divisors (43241193).

82332567 is a wasteful number, since it uses less digits than its factorization.

82332567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1520 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 82332567 is about 9073.7294978416. The cubic root of 82332567 is about 435.0346860966.

The spelling of 82332567 in words is "eighty-two million, three hundred thirty-two thousand, five hundred sixty-seven".