165954949 has 12 divisors (see below), whose sum is σ = 175989996. Its totient is φ = 156466368.

The previous prime is 165954941. The next prime is 165954961. The reversal of 165954949 is 949459561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34692100 + 131262849 = 5890^2 + 11457^2 .

It is not a de Polignac number, because 165954949 - 2³ = 165954941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165954896 and 165954905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165954941) 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, 83127 + ... + 85099.

It is an arithmetic number, because the mean of its divisors is an integer number (14665833).

Almost surely, 2^165954949 is an apocalyptic number.

165954949 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

165954949 is a deficient number, since it is larger than the sum of its proper divisors (10035047).

165954949 is a wasteful number, since it uses less digits than its factorization.

165954949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2225 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 52.

The square root of 165954949 is about 12882.3502902227. The cubic root of 165954949 is about 549.5367438006.

The spelling of 165954949 in words is "one hundred sixty-five million, nine hundred fifty-four thousand, nine hundred forty-nine".