29261 has 4 divisors (see below), whose sum is σ = 30300. Its totient is φ = 28224.

The previous prime is 29251. The next prime is 29269. The reversal of 29261 is 16292.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 12100 + 17161 = 110^2 + 131^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-29261 is a prime.

It is a super-2 number, since 2×29261² = 1712412242, which contains 22 as substring.

It is a Duffinian number.

29261 is a modest number, since divided by 261 gives 29 as remainder.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29269) 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, 476 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (7575).

2²⁹²⁶¹ is an apocalyptic number.

29261 is the 77-th centered decagonal number.

It is an amenable number.

29261 is a deficient number, since it is larger than the sum of its proper divisors (1039).

29261 is a wasteful number, since it uses less digits than its factorization.

29261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038.

The product of its digits is 216, while the sum is 20.

The square root of 29261 is about 171.0584695360. The cubic root of 29261 is about 30.8150626274.

Subtracting from 29261 its sum of digits (20), we obtain a square (29241 = 171²).

It can be divided in two parts, 292 and 61, that added together give a palindrome (353).

The spelling of 29261 in words is "twenty-nine thousand, two hundred sixty-one".