997964153 has 16 divisors (see below), whose sum is σ = 1042206480. Its totient is φ = 954433536.

The previous prime is 997964131. The next prime is 997964159. The reversal of 997964153 is 351469799.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 536015104 + 461949049 = 23152^2 + 21493^2 .

It is a cyclic number.

It is not a de Polignac number, because 997964153 - 2¹⁶ = 997898617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 997964095 and 997964104.

It is not an unprimeable number, because it can be changed into a prime (997964159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2183501 + ... + 2183957.

It is an arithmetic number, because the mean of its divisors is an integer number (65137905).

Almost surely, 2^997964153 is an apocalyptic number.

It is an amenable number.

997964153 is a deficient number, since it is larger than the sum of its proper divisors (44242327).

997964153 is a wasteful number, since it uses less digits than its factorization.

997964153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036.

The product of its digits is 1837080, while the sum is 53.

The square root of 997964153 is about 31590.5706342890. The cubic root of 997964153 is about 999.3209232925.

The spelling of 997964153 in words is "nine hundred ninety-seven million, nine hundred sixty-four thousand, one hundred fifty-three".