81419625 has 96 divisors (see below), whose sum is σ = 171974400. Its totient is φ = 37044000.

The previous prime is 81419623. The next prime is 81419627. The reversal of 81419625 is 52691418.

81419625 is a `hidden beast` number, since 8 + 14 + 19 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (81419623) and next prime (81419627).

It is not a de Polignac number, because 81419625 - 2¹ = 81419623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 81419625.

It is not an unprimeable number, because it can be changed into a prime (81419623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385770 + ... + 385980.

It is an arithmetic number, because the mean of its divisors is an integer number (1791400).

Almost surely, 2^81419625 is an apocalyptic number.

It is an amenable number.

81419625 is an abundant number, since it is smaller than the sum of its proper divisors (90554775).

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

81419625 is a wasteful number, since it uses less digits than its factorization.

81419625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 81419625 is about 9023.2823850304. The cubic root of 81419625 is about 433.4207499513.

It can be divided in two parts, 8141 and 9625, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 81419625 in words is "eighty-one million, four hundred nineteen thousand, six hundred twenty-five".