196700625 has 135 divisors (see below), whose sum is σ = 414557143. Its totient is φ = 89760000.

The previous prime is 196700563. The next prime is 196700641. The reversal of 196700625 is 526007691.

The square root of 196700625 is 14025.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 96059601 + 100641024 = 9801^2 + 10032^2 .

It is not a de Polignac number, because 196700625 - 2⁹ = 196700113 is a prime.

It is a super-2 number, since 2×196700625² = 77382271750781250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 196700625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11570617 + ... + 11570633.

Almost surely, 2^196700625 is an apocalyptic number.

196700625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

196700625 is the 14025-th square number.

196700625 is the 7013-rd centered octagonal number.

It is an amenable number.

196700625 is an abundant number, since it is smaller than the sum of its proper divisors (217856518).

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

196700625 is a wasteful number, since it uses less digits than its factorization.

196700625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 196700625 is about 581.5698898205.

Multiplying 196700625 by its sum of digits (36), we get a square (7081222500 = 84150²).

The spelling of 196700625 in words is "one hundred ninety-six million, seven hundred thousand, six hundred twenty-five".