153920961 has 12 divisors (see below), whose sum is σ = 224829540. Its totient is φ = 101460480.

The previous prime is 153920953. The next prime is 153921017. The reversal of 153920961 is 169029351.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 70308225 = 9144^2 + 8385^2 .

It is not a de Polignac number, because 153920961 - 2³ = 153920953 is a prime.

It is a super-3 number, since 3×153920961³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153920561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95280 + ... + 96881.

It is an arithmetic number, because the mean of its divisors is an integer number (18735795).

Almost surely, 2^153920961 is an apocalyptic number.

It is an amenable number.

153920961 is a deficient number, since it is larger than the sum of its proper divisors (70908579).

153920961 is a wasteful number, since it uses less digits than its factorization.

153920961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192256 (or 192253 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 153920961 is about 12406.4886652106. The cubic root of 153920961 is about 535.9191246228.

It can be divided in two parts, 1539 and 20961, that added together give a square (22500 = 150²).

The spelling of 153920961 in words is "one hundred fifty-three million, nine hundred twenty thousand, nine hundred sixty-one".