193627225 has 45 divisors (see below), whose sum is σ = 276088015. Its totient is φ = 134697200.

The previous prime is 193627223. The next prime is 193627241. The reversal of 193627225 is 522726391.

The square root of 193627225 is 13915.

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., 69705801 + 123921424 = 8349^2 + 11132^2 .

It is not a de Polignac number, because 193627225 - 2¹ = 193627223 is a prime.

It is a super-2 number, since 2×193627225² = 74983004522401250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (193627223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8418564 + ... + 8418586.

Almost surely, 2^193627225 is an apocalyptic number.

193627225 is the 13915-th square number.

193627225 is the 6958-th centered octagonal number.

It is an amenable number.

193627225 is a deficient number, since it is larger than the sum of its proper divisors (82460790).

193627225 is an frugal number, since it uses more digits than its factorization.

193627225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 39 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The cubic root of 193627225 is about 578.5250125703.

It can be divided in two parts, 1936 and 27225, that multiplied together give a square (52707600 = 7260²).

The spelling of 193627225 in words is "one hundred ninety-three million, six hundred twenty-seven thousand, two hundred twenty-five".