1121829537 has 16 divisors (see below), whose sum is σ = 1532588288. Its totient is φ = 729524880.

The previous prime is 1121829509. The next prime is 1121829557. The reversal of 1121829537 is 7359281211.

It is a happy number.

It is not a de Polignac number, because 1121829537 - 2¹⁶ = 1121764001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1121829495 and 1121829504.

It is not an unprimeable number, because it can be changed into a prime (1121829557) 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, 99258 + ... + 109980.

It is an arithmetic number, because the mean of its divisors is an integer number (95786768).

Almost surely, 2^1121829537 is an apocalyptic number.

It is an amenable number.

1121829537 is a deficient number, since it is larger than the sum of its proper divisors (410758751).

1121829537 is a wasteful number, since it uses less digits than its factorization.

1121829537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11580.

The product of its digits is 30240, while the sum is 39.

The square root of 1121829537 is about 33493.7238449235. The cubic root of 1121829537 is about 1039.0639806112.

It can be divided in two parts, 11218 and 29537, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 1121829537 in words is "one billion, one hundred twenty-one million, eight hundred twenty-nine thousand, five hundred thirty-seven".