11629 has 4 divisors (see below), whose sum is σ = 12060. Its totient is φ = 11200.

The previous prime is 11621. The next prime is 11633. The reversal of 11629 is 92611.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92611 = 37 ⋅2503.

It can be written as a sum of positive squares in 2 ways, for example, as 9604 + 2025 = 98^2 + 45^2 .

It is a cyclic number.

It is not a de Polignac number, because 11629 - 2³ = 11621 is a prime.

It is a pancake number, because a pancake can be divided into 11629 parts by 152 straight cuts.

It is a Duffinian number.

11629 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11621) 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, 172 + ... + 229.

It is an arithmetic number, because the mean of its divisors is an integer number (3015).

2¹¹⁶²⁹ is an apocalyptic number.

11629 is the 58-th nonagonal number.

It is an amenable number.

11629 is a deficient number, since it is larger than the sum of its proper divisors (431).

11629 is an equidigital number, since it uses as much as digits as its factorization.

11629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430.

The product of its digits is 108, while the sum is 19.

The square root of 11629 is about 107.8378412247. The cubic root of 11629 is about 22.6558724075.

It can be divided in two parts, 116 and 29, that multiplied together give a square (3364 = 58²).

The spelling of 11629 in words is "eleven thousand, six hundred twenty-nine".