82552349 has 16 divisors (see below), whose sum is σ = 93857280. Its totient is φ = 71928000.

The previous prime is 82552331. The next prime is 82552367. The reversal of 82552349 is 94325528.

It is an interprime number because it is at equal distance from previous prime (82552331) and next prime (82552367).

It is a cyclic number.

It is not a de Polignac number, because 82552349 - 2¹⁶ = 82486813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82552369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36059 + ... + 38279.

It is an arithmetic number, because the mean of its divisors is an integer number (5866080).

Almost surely, 2^82552349 is an apocalyptic number.

It is an amenable number.

82552349 is a deficient number, since it is larger than the sum of its proper divisors (11304931).

82552349 is a wasteful number, since it uses less digits than its factorization.

82552349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372.

The product of its digits is 86400, while the sum is 38.

The square root of 82552349 is about 9085.8323229080. The cubic root of 82552349 is about 435.4214420921.

The spelling of 82552349 in words is "eighty-two million, five hundred fifty-two thousand, three hundred forty-nine".