997956 has 36 divisors (see below), whose sum is σ = 2657200. Its totient is φ = 314928.

The previous prime is 997949. The next prime is 997961. The reversal of 997956 is 659799.

997956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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, 46 + ... + 1413.

2⁹⁹⁷⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328600).

997956 is an abundant number, since it is smaller than the sum of its proper divisors (1659244).

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

997956 is a wasteful number, since it uses less digits than its factorization.

997956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1483 counting only the distinct ones).

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

The square root of 997956 is about 998.9774772236. The cubic root of 997956 is about 99.9318201924.

Adding to 997956 its sum of digits (45), we get a square (998001 = 999²).

It can be divided in two parts, 997 and 956, that added together give a triangular number (1953 = T₆₂).

The spelling of 997956 in words is "nine hundred ninety-seven thousand, nine hundred fifty-six".