197829972 has 96 divisors (see below), whose sum is σ = 544087040. Its totient is φ = 62052480.

The previous prime is 197829959. The next prime is 197829979. The reversal of 197829972 is 279928791.

197829972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197829979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123078 + ... + 124674.

Almost surely, 2^197829972 is an apocalyptic number.

197829972 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 197829972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272043520).

197829972 is an abundant number, since it is smaller than the sum of its proper divisors (346257068).

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

197829972 is a wasteful number, since it uses less digits than its factorization.

197829972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1670 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 197829972 is about 14065.2042999737. The cubic root of 197829972 is about 582.6807848173.

The spelling of 197829972 in words is "one hundred ninety-seven million, eight hundred twenty-nine thousand, nine hundred seventy-two".