61338300 has 36 divisors (see below), whose sum is σ = 177473016. Its totient is φ = 16356800.

The previous prime is 61338283. The next prime is 61338317. The reversal of 61338300 is 383316.

It is an interprime number because it is at equal distance from previous prime (61338283) and next prime (61338317).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101931 + ... + 102530.

It is an arithmetic number, because the mean of its divisors is an integer number (4929806).

Almost surely, 2^61338300 is an apocalyptic number.

61338300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61338300 is an abundant number, since it is smaller than the sum of its proper divisors (116134716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61338300 is a wasteful number, since it uses less digits than its factorization.

61338300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204478 (or 204471 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 61338300 is about 7831.8771696190. The cubic root of 61338300 is about 394.3760913687.

The spelling of 61338300 in words is "sixty-one million, three hundred thirty-eight thousand, three hundred".