13385952 has 48 divisors (see below), whose sum is σ = 39044880. Its totient is φ = 4461696.

The previous prime is 13385951. The next prime is 13386001. The reversal of 13385952 is 25958331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13385951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6883 + ... + 8610.

It is an arithmetic number, because the mean of its divisors is an integer number (813435).

Almost surely, 2^13385952 is an apocalyptic number.

13385952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13385952 is an abundant number, since it is smaller than the sum of its proper divisors (25658928).

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

13385952 is a wasteful number, since it uses less digits than its factorization.

13385952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15512 (or 15498 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 13385952 is about 3658.6817298038. The cubic root of 13385952 is about 237.4377424995.

The spelling of 13385952 in words is "thirteen million, three hundred eighty-five thousand, nine hundred fifty-two".