82361961 has 32 divisors (see below), whose sum is σ = 135129600. Its totient is φ = 49159440.

The previous prime is 82361953. The next prime is 82361999. The reversal of 82361961 is 16916328.

It is not a de Polignac number, because 82361961 - 2³ = 82361953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82361861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17830 + ... + 21968.

It is an arithmetic number, because the mean of its divisors is an integer number (4222800).

Almost surely, 2^82361961 is an apocalyptic number.

It is an amenable number.

82361961 is a deficient number, since it is larger than the sum of its proper divisors (52767639).

82361961 is a wasteful number, since it uses less digits than its factorization.

82361961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4220 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 82361961 is about 9075.3490841951. The cubic root of 82361961 is about 435.0864513075.

The spelling of 82361961 in words is "eighty-two million, three hundred sixty-one thousand, nine hundred sixty-one".