82253138 has 30 divisors (see below), whose sum is σ = 138325845. Its totient is φ = 36682360.

The previous prime is 82253131. The next prime is 82253161. The reversal of 82253138 is 83135228.

It can be written as a sum of positive squares in 2 ways, for example, as 78021889 + 4231249 = 8833^2 + 2057^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6413.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82253131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1551920 + ... + 1551972.

Almost surely, 2^82253138 is an apocalyptic number.

82253138 is a deficient number, since it is larger than the sum of its proper divisors (56072707).

82253138 is an frugal number, since it uses more digits than its factorization.

82253138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 66 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 82253138 is about 9069.3515754987. The cubic root of 82253138 is about 434.8947435472.

Multiplying 82253138 by its sum of digits (32), we get a square (2632100416 = 51304²).

The spelling of 82253138 in words is "eighty-two million, two hundred fifty-three thousand, one hundred thirty-eight".