162540963 has 24 divisors (see below), whose sum is σ = 259681968. Its totient is φ = 97319232.

The previous prime is 162540949. The next prime is 162540979. The reversal of 162540963 is 369045261.

It is a happy number.

It is not a de Polignac number, because 162540963 - 2⁴ = 162540947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (162540913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14445 + ... + 23102.

It is an arithmetic number, because the mean of its divisors is an integer number (10820082).

Almost surely, 2^162540963 is an apocalyptic number.

162540963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

162540963 is a deficient number, since it is larger than the sum of its proper divisors (97141005).

162540963 is a wasteful number, since it uses less digits than its factorization.

162540963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37603 (or 37600 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 162540963 is about 12749.1553837892. The cubic root of 162540963 is about 545.7422907312.

The spelling of 162540963 in words is "one hundred sixty-two million, five hundred forty thousand, nine hundred sixty-three".