84657825 has 192 divisors, whose sum is σ = 199987200. Its totient is φ = 34214400.

The previous prime is 84657803. The next prime is 84657827. The reversal of 84657825 is 52875648.

It is not a de Polignac number, because 84657825 - 2¹³ = 84649633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (84657827) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2064805 + ... + 2064845.

It is an arithmetic number, because the mean of its divisors is an integer number (1041600).

Almost surely, 2^84657825 is an apocalyptic number.

It is an amenable number.

84657825 is an abundant number, since it is smaller than the sum of its proper divisors (115329375).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84657825 is a wasteful number, since it uses less digits than its factorization.

84657825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 84657825 is about 9200.9686990012. The cubic root of 84657825 is about 439.0921795559.

It can be divided in two parts, 8465 and 7825, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 84657825 in words is "eighty-four million, six hundred fifty-seven thousand, eight hundred twenty-five".