1713921000 has 256 divisors, whose sum is σ = 5887365120. Its totient is φ = 411680000.

The previous prime is 1713920983. The next prime is 1713921017. The reversal of 1713921000 is 1293171.

It is an interprime number because it is at equal distance from previous prime (1713920983) and next prime (1713921017).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5510845 + ... + 5511155.

It is an arithmetic number, because the mean of its divisors is an integer number (22997520).

Almost surely, 2^1713921000 is an apocalyptic number.

1713921000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1713921000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943682560).

1713921000 is an abundant number, since it is smaller than the sum of its proper divisors (4173444120).

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

1713921000 is a wasteful number, since it uses less digits than its factorization.

1713921000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 1713921000 is about 41399.5289828278. The cubic root of 1713921000 is about 1196.7320808879.

The spelling of 1713921000 in words is "one billion, seven hundred thirteen million, nine hundred twenty-one thousand".