102825537 has 32 divisors (see below), whose sum is σ = 149610240. Its totient is φ = 62576640.

The previous prime is 102825517. The next prime is 102825539. The reversal of 102825537 is 735528201.

It is not a de Polignac number, because 102825537 - 2⁷ = 102825409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102825498 and 102825507.

It is not an unprimeable number, because it can be changed into a prime (102825539) 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, 264139 + ... + 264527.

It is an arithmetic number, because the mean of its divisors is an integer number (4675320).

Almost surely, 2^102825537 is an apocalyptic number.

102825537 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

102825537 is a deficient number, since it is larger than the sum of its proper divisors (46784703).

102825537 is a wasteful number, since it uses less digits than its factorization.

102825537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 102825537 is about 10140.2927472534. The cubic root of 102825537 is about 468.4900037998.

It can be divided in two parts, 1028 and 25537, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 102825537 in words is "one hundred two million, eight hundred twenty-five thousand, five hundred thirty-seven".