240713829 has 32 divisors (see below), whose sum is σ = 386830080. Its totient is φ = 147340800.

The previous prime is 240713827. The next prime is 240713849. The reversal of 240713829 is 928317042.

240713829 = 2403² + 2404² + ... + 2443².

It is not a de Polignac number, because 240713829 - 2¹ = 240713827 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 240713793 and 240713802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240713827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12424 + ... + 25214.

It is an arithmetic number, because the mean of its divisors is an integer number (12088440).

Almost surely, 2^240713829 is an apocalyptic number.

It is an amenable number.

240713829 is a deficient number, since it is larger than the sum of its proper divisors (146116251).

240713829 is a wasteful number, since it uses less digits than its factorization.

240713829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12858 (or 12852 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 240713829 is about 15514.9550112142. The cubic root of 240713829 is about 622.0620115454.

It can be divided in two parts, 24071382 and 9, that added together give a triangular number (24071391 = T₆₉₃₈).

The spelling of 240713829 in words is "two hundred forty million, seven hundred thirteen thousand, eight hundred twenty-nine".