193349025 has 63 divisors (see below), whose sum is σ = 362988579. Its totient is φ = 102118320.

The previous prime is 193348979. The next prime is 193349053. The reversal of 193349025 is 520943391.

It is a happy number.

The square root of 193349025 is 13905.

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

It can be written as a sum of positive squares in only one way, i.e., 69605649 + 123743376 = 8343^2 + 11124^2 .

It is a de Polignac number, because none of the positive numbers 2^k-193349025 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1877124 + ... + 1877226.

Almost surely, 2^193349025 is an apocalyptic number.

193349025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

193349025 is the 13905-th square number.

193349025 is the 6953-rd centered octagonal number.

It is an amenable number.

193349025 is a deficient number, since it is larger than the sum of its proper divisors (169639554).

193349025 is an frugal number, since it uses more digits than its factorization.

193349025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The cubic root of 193349025 is about 578.2478084369.

Multiplying 193349025 by its sum of digits (36), we get a square (6960564900 = 83430²).

The spelling of 193349025 in words is "one hundred ninety-three million, three hundred forty-nine thousand, twenty-five".