1007164829 has 8 divisors (see below), whose sum is σ = 1109604960. Its totient is φ = 906538000.

The previous prime is 1007164799. The next prime is 1007164841. The reversal of 1007164829 is 9284617001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007164829 - 2¹⁶ = 1007099293 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1007164792 and 1007164801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007164889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452159 + ... + 454380.

It is an arithmetic number, because the mean of its divisors is an integer number (138700620).

Almost surely, 2^1007164829 is an apocalyptic number.

It is an amenable number.

1007164829 is a deficient number, since it is larger than the sum of its proper divisors (102440131).

1007164829 is a wasteful number, since it uses less digits than its factorization.

1007164829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906651.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 1007164829 is about 31735.8603002975. The cubic root of 1007164829 is about 1002.3825950656.

The spelling of 1007164829 in words is "one billion, seven million, one hundred sixty-four thousand, eight hundred twenty-nine".