13997952 has 96 divisors (see below), whose sum is σ = 41769000. Its totient is φ = 4494336.

The previous prime is 13997947. The next prime is 13997983. The reversal of 13997952 is 25979931.

13997952 = T₉₆₈ + T₉₆₉ + ... + T₉₉₆.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13997898 and 13997907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33199 + ... + 33617.

Almost surely, 2^13997952 is an apocalyptic number.

13997952 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 13997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20884500).

13997952 is an abundant number, since it is smaller than the sum of its proper divisors (27771048).

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

13997952 is a wasteful number, since it uses less digits than its factorization.

13997952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 13997952 is about 3741.3837012528. The cubic root of 13997952 is about 241.0024735317.

The spelling of 13997952 in words is "thirteen million, nine hundred ninety-seven thousand, nine hundred fifty-two".