82948131 has 30 divisors (see below), whose sum is σ = 144147300. Its totient is φ = 47396664.

The previous prime is 82948123. The next prime is 82948139. The reversal of 82948131 is 13184928.

It is an interprime number because it is at equal distance from previous prime (82948123) and next prime (82948139).

It is not a de Polignac number, because 82948131 - 2³ = 82948123 is a prime.

It is a super-2 number, since 2×82948131² = 13760784872786322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82948139) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6481 + ... + 14418.

It is an arithmetic number, because the mean of its divisors is an integer number (4804910).

Almost surely, 2^82948131 is an apocalyptic number.

82948131 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82948131 is a deficient number, since it is larger than the sum of its proper divisors (61199169).

82948131 is a wasteful number, since it uses less digits than its factorization.

82948131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20925 (or 20909 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 82948131 is about 9107.5864530621. The cubic root of 82948131 is about 436.1161822494.

The spelling of 82948131 in words is "eighty-two million, nine hundred forty-eight thousand, one hundred thirty-one".