11829132 has 48 divisors (see below), whose sum is σ = 35051520. Its totient is φ = 3379536.

The previous prime is 11829131. The next prime is 11829133. The reversal of 11829132 is 23192811.

It is an interprime number because it is at equal distance from previous prime (11829131) and next prime (11829133).

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

It is a junction number, because it is equal to n+sod(n) for n = 11829096 and 11829105.

It is not an unprimeable number, because it can be changed into a prime (11829131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7068 + ... + 8579.

It is an arithmetic number, because the mean of its divisors is an integer number (730240).

Almost surely, 2^11829132 is an apocalyptic number.

11829132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11829132 is an abundant number, since it is smaller than the sum of its proper divisors (23222388).

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

11829132 is a wasteful number, since it uses less digits than its factorization.

11829132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15667 (or 15659 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11829132 is about 3439.3505200837. The cubic root of 11829132 is about 227.8510106956.

The spelling of 11829132 in words is "eleven million, eight hundred twenty-nine thousand, one hundred thirty-two".