82354125 has 64 divisors (see below), whose sum is σ = 158446080. Its totient is φ = 37209600.

The previous prime is 82354079. The next prime is 82354127. The reversal of 82354125 is 52145328.

82354125 = 406² + 407² + ... + 679².

It is not a de Polignac number, because 82354125 - 2⁹ = 82353613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82354092 and 82354101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82354127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359511 + ... + 359739.

It is an arithmetic number, because the mean of its divisors is an integer number (2475720).

Almost surely, 2^82354125 is an apocalyptic number.

It is an amenable number.

82354125 is a deficient number, since it is larger than the sum of its proper divisors (76091955).

82354125 is a wasteful number, since it uses less digits than its factorization.

82354125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 82354125 is about 9074.9173549956. The cubic root of 82354125 is about 435.0726526821.

The spelling of 82354125 in words is "eighty-two million, three hundred fifty-four thousand, one hundred twenty-five".