1701972 has 72 divisors (see below), whose sum is σ = 4769856. Its totient is φ = 528768.

The previous prime is 1701971. The next prime is 1701979. The reversal of 1701972 is 2791071.

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1701971) 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 23 ways as a sum of consecutive naturals, for example, 16473 + ... + 16575.

It is an arithmetic number, because the mean of its divisors is an integer number (66248).

2^1701972 is an apocalyptic number.

1701972 is a gapful number since it is divisible by the number (12) 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 1701972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384928).

1701972 is an abundant number, since it is smaller than the sum of its proper divisors (3067884).

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

1701972 is a wasteful number, since it uses less digits than its factorization.

1701972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1701972 is about 1304.5964893407. The cubic root of 1701972 is about 119.3944493771.

1701972 divided by its sum of digits (27) gives a palindrome (63036).

Subtracting from 1701972 its product of nonzero digits (882), we obtain a triangular number (1701090 = T₁₈₄₄).

The spelling of 1701972 in words is "one million, seven hundred one thousand, nine hundred seventy-two".