164141696 has 32 divisors (see below), whose sum is σ = 334987380. Its totient is φ = 80066560.

The previous prime is 164141693. The next prime is 164141699. The reversal of 164141696 is 696141461.

It is an interprime number because it is at equal distance from previous prime (164141693) and next prime (164141699).

It can be written as a sum of positive squares in 2 ways, for example, as 154753600 + 9388096 = 12440^2 + 3064^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×164141696³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164141693) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10391 + ... + 20886.

Almost surely, 2^164141696 is an apocalyptic number.

164141696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164141696 is an abundant number, since it is smaller than the sum of its proper divisors (170845684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164141696 is an equidigital number, since it uses as much as digits as its factorization.

164141696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31332 (or 31320 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 164141696 is about 12811.7795797461. The cubic root of 164141696 is about 547.5279647664.

The spelling of 164141696 in words is "one hundred sixty-four million, one hundred forty-one thousand, six hundred ninety-six".