83225373 has 36 divisors (see below), whose sum is σ = 141916320. Its totient is φ = 43224720.

The previous prime is 83225371. The next prime is 83225393. The reversal of 83225373 is 37352238.

It is not a de Polignac number, because 83225373 - 2¹ = 83225371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83225371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15448 + ... + 20126.

It is an arithmetic number, because the mean of its divisors is an integer number (3942120).

Almost surely, 2^83225373 is an apocalyptic number.

It is an amenable number.

83225373 is a deficient number, since it is larger than the sum of its proper divisors (58690947).

83225373 is a wasteful number, since it uses less digits than its factorization.

83225373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4700 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 83225373 is about 9122.7941443398. The cubic root of 83225373 is about 436.6015267775.

It can be divided in two parts, 8322 and 5373, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 83225373 in words is "eighty-three million, two hundred twenty-five thousand, three hundred seventy-three".