361138833 has 48 divisors (see below), whose sum is σ = 615326400. Its totient is φ = 201709440.

The previous prime is 361138831. The next prime is 361138853. The reversal of 361138833 is 338831163.

361138833 is a `hidden beast` number, since 3 + 611 + 3 + 8 + 8 + 33 = 666.

It is not a de Polignac number, because 361138833 - 2¹ = 361138831 is a prime.

It is not an unprimeable number, because it can be changed into a prime (361138831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67003 + ... + 72191.

It is an arithmetic number, because the mean of its divisors is an integer number (12819300).

Almost surely, 2^361138833 is an apocalyptic number.

361138833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

361138833 is a deficient number, since it is larger than the sum of its proper divisors (254187567).

361138833 is a wasteful number, since it uses less digits than its factorization.

361138833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5259 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 361138833 is about 19003.6531488027. The cubic root of 361138833 is about 712.1280023043.

Adding to 361138833 its reverse (338831163), we get a palindrome (699969996).

The spelling of 361138833 in words is "three hundred sixty-one million, one hundred thirty-eight thousand, eight hundred thirty-three".