13454952 has 48 divisors (see below), whose sum is σ = 38579040. Its totient is φ = 3830688.

The previous prime is 13454941. The next prime is 13454963. The reversal of 13454952 is 25945431.

13454952 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13454941) and next prime (13454963).

13454952 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47403 + ... + 47685.

It is an arithmetic number, because the mean of its divisors is an integer number (803730).

Almost surely, 2^13454952 is an apocalyptic number.

13454952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13454952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19289520).

13454952 is an abundant number, since it is smaller than the sum of its proper divisors (25124088).

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

13454952 is an equidigital number, since it uses as much as digits as its factorization.

13454952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 295 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 13454952 is about 3668.0992352988. The cubic root of 13454952 is about 237.8450136107.

The spelling of 13454952 in words is "thirteen million, four hundred fifty-four thousand, nine hundred fifty-two".