33514164 has 36 divisors (see below), whose sum is σ = 84912100. Its totient is φ = 11145600.

The previous prime is 33514163. The next prime is 33514177. The reversal of 33514164 is 46141533.

It can be written as a sum of positive squares in 2 ways, for example, as 20250000 + 13264164 = 4500^2 + 3642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33514164² = 2246398377237792, which contains 22 as substring.

Its product of digits (4320) is a multiple of the sum of its prime factors (2160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33514163) 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, 20862 + ... + 22410.

Almost surely, 2^33514164 is an apocalyptic number.

It is an amenable number.

33514164 is an abundant number, since it is smaller than the sum of its proper divisors (51397936).

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

33514164 is a wasteful number, since it uses less digits than its factorization.

33514164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2155 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 33514164 is about 5789.1419053259. The cubic root of 33514164 is about 322.4107126177.

Adding to 33514164 its reverse (46141533), we get a palindrome (79655697).

The spelling of 33514164 in words is "thirty-three million, five hundred fourteen thousand, one hundred sixty-four".