82292301 has 32 divisors (see below), whose sum is σ = 150053120. Its totient is φ = 43405632.

The previous prime is 82292299. The next prime is 82292303. The reversal of 82292301 is 10329228.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82292299) and next prime (82292303).

It is not a de Polignac number, because 82292301 - 2¹ = 82292299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82292303) 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, 14290 + ... + 19203.

It is an arithmetic number, because the mean of its divisors is an integer number (4689160).

Almost surely, 2^82292301 is an apocalyptic number.

It is an amenable number.

82292301 is a deficient number, since it is larger than the sum of its proper divisors (67760819).

82292301 is a wasteful number, since it uses less digits than its factorization.

82292301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33522 (or 33516 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82292301 is about 9071.5104034554. The cubic root of 82292301 is about 434.9637544116.

The spelling of 82292301 in words is "eighty-two million, two hundred ninety-two thousand, three hundred one".