161733825 has 72 divisors (see below), whose sum is σ = 319640256. Its totient is φ = 77520000.

The previous prime is 161733799. The next prime is 161733827. The reversal of 161733825 is 528337161.

161733825 is a `hidden beast` number, since 1 + 617 + 3 + 38 + 2 + 5 = 666.

161733825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with 157906430 it forms a betrothed pair.

It is not a de Polignac number, because 161733825 - 2¹⁰ = 161732801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 161733825.

It is not an unprimeable number, because it can be changed into a prime (161733827) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249652 + ... + 250298.

It is an arithmetic number, because the mean of its divisors is an integer number (4439448).

Almost surely, 2^161733825 is an apocalyptic number.

161733825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

161733825 is a deficient number, since it is larger than the sum of its proper divisors (157906431).

161733825 is a wasteful number, since it uses less digits than its factorization.

161733825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 161733825 is about 12717.4614212114. The cubic root of 161733825 is about 544.8374511732.

The spelling of 161733825 in words is "one hundred sixty-one million, seven hundred thirty-three thousand, eight hundred twenty-five".