82137969 has 45 divisors (see below), whose sum is σ = 131987163. Its totient is φ = 50897808.

The previous prime is 82137967. The next prime is 82137973. The reversal of 82137969 is 96973128.

The square root of 82137969 is 9063.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59213025 + 22924944 = 7695^2 + 4788^2 .

It is not a de Polignac number, because 82137969 - 2¹ = 82137967 is a prime.

It is a super-2 number, since 2×82137969² = 13493291902889922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82137961) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1549747 + ... + 1549799.

Almost surely, 2^82137969 is an apocalyptic number.

82137969 is the 9063-rd square number.

82137969 is the 4532-nd centered octagonal number.

It is an amenable number.

82137969 is a deficient number, since it is larger than the sum of its proper divisors (49849194).

82137969 is an equidigital number, since it uses as much as digits as its factorization.

82137969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 75 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The cubic root of 82137969 is about 434.6916721153.

The spelling of 82137969 in words is "eighty-two million, one hundred thirty-seven thousand, nine hundred sixty-nine".