83648825 has 12 divisors (see below), whose sum is σ = 111703788. Its totient is φ = 61771200.

The previous prime is 83648809. The next prime is 83648833. The reversal of 83648825 is 52884638.

It can be written as a sum of positive squares in 6 ways, for example, as 8809024 + 74839801 = 2968^2 + 8651^2 .

It is not a de Polignac number, because 83648825 - 2⁴ = 83648809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128366 + ... + 129015.

It is an arithmetic number, because the mean of its divisors is an integer number (9308649).

Almost surely, 2^83648825 is an apocalyptic number.

It is an amenable number.

83648825 is a deficient number, since it is larger than the sum of its proper divisors (28054963).

83648825 is a wasteful number, since it uses less digits than its factorization.

83648825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257404 (or 257399 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 83648825 is about 9145.9731576252. The cubic root of 83648825 is about 437.3407529265.

The spelling of 83648825 in words is "eighty-three million, six hundred forty-eight thousand, eight hundred twenty-five".