29096961 has 24 divisors (see below), whose sum is σ = 41660064. Its totient is φ = 18057600.

The previous prime is 29096959. The next prime is 29096981. The reversal of 29096961 is 16969092.

It is a happy number.

It is not a de Polignac number, because 29096961 - 2¹ = 29096959 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (29096981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72361 + ... + 72761.

It is an arithmetic number, because the mean of its divisors is an integer number (1735836).

Almost surely, 2^29096961 is an apocalyptic number.

It is an amenable number.

29096961 is a deficient number, since it is larger than the sum of its proper divisors (12563103).

29096961 is a wasteful number, since it uses less digits than its factorization.

29096961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 29096961 is about 5394.1598975188. The cubic root of 29096961 is about 307.5737096087.

It can be divided in two parts, 2909 and 6961, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 29096961 in words is "twenty-nine million, ninety-six thousand, nine hundred sixty-one".