162788049 has 40 divisors (see below), whose sum is σ = 258499560. Its totient is φ = 101896704.

The previous prime is 162788027. The next prime is 162788053. The reversal of 162788049 is 940887261.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 146531025 = 4032^2 + 12105^2 .

It is not a de Polignac number, because 162788049 - 2¹² = 162783953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 162787995 and 162788013.

It is not an unprimeable number, because it can be changed into a prime (162788009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85977 + ... + 87849.

It is an arithmetic number, because the mean of its divisors is an integer number (6462489).

Almost surely, 2^162788049 is an apocalyptic number.

It is an amenable number.

162788049 is a deficient number, since it is larger than the sum of its proper divisors (95711511).

162788049 is a wasteful number, since it uses less digits than its factorization.

162788049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 162788049 is about 12758.8419929083. The cubic root of 162788049 is about 546.0186867170.

It can be divided in two parts, 1627 and 88049, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 162788049 in words is "one hundred sixty-two million, seven hundred eighty-eight thousand, forty-nine".