193905625 has 15 divisors (see below), whose sum is σ = 242740267. Its totient is φ = 154846000.

The previous prime is 193905611. The next prime is 193905631. The reversal of 193905625 is 526509391.

It is a happy number.

The square root of 193905625 is 13925.

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 193849929 + 55696 = 13923^2 + 236^2 .

It is not a de Polignac number, because 193905625 - 2⁷ = 193905497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 347847 + ... + 348403.

Almost surely, 2^193905625 is an apocalyptic number.

193905625 is the 13925-th square number.

193905625 is the 6963-rd centered octagonal number.

It is an amenable number.

193905625 is a deficient number, since it is larger than the sum of its proper divisors (48834642).

193905625 is an frugal number, since it uses more digits than its factorization.

193905625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 40.

The cubic root of 193905625 is about 578.8021503075.

Multiplying 193905625 by its product of nonzero digits (72900), we get a square (14135720062500 = 3759750²).

The spelling of 193905625 in words is "one hundred ninety-three million, nine hundred five thousand, six hundred twenty-five".