29162133 has 96 divisors (see below), whose sum is σ = 59028480. Its totient is φ = 13815360.

The previous prime is 29162129. The next prime is 29162141. The reversal of 29162133 is 33126192.

29162133 is a `hidden beast` number, since 2 + 9 + 1 + 621 + 33 = 666.

29162133 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 29162133 - 2² = 29162129 is a prime.

It is a super-2 number, since 2×29162133² = 1700860002219378, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29162097 and 29162106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29162153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351310 + ... + 351392.

It is an arithmetic number, because the mean of its divisors is an integer number (614880).

Almost surely, 2^29162133 is an apocalyptic number.

It is an amenable number.

29162133 is an abundant number, since it is smaller than the sum of its proper divisors (29866347).

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

29162133 is a wasteful number, since it uses less digits than its factorization.

29162133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 29162133 is about 5400.1974963884. The cubic root of 29162133 is about 307.8031751133.

The spelling of 29162133 in words is "twenty-nine million, one hundred sixty-two thousand, one hundred thirty-three".