1971948 has 24 divisors (see below), whose sum is σ = 5019840. Its totient is φ = 597520.

The previous prime is 1971911. The next prime is 1971967. The reversal of 1971948 is 8491791.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7338 + ... + 7601.

It is an arithmetic number, because the mean of its divisors is an integer number (209160).

2^1971948 is an apocalyptic number.

It is an amenable number.

1971948 is an abundant number, since it is smaller than the sum of its proper divisors (3047892).

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

1971948 is a wasteful number, since it uses less digits than its factorization.

1971948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14957 (or 14955 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The square root of 1971948 is about 1404.2606595643. The cubic root of 1971948 is about 125.4002742096.

It can be divided in two parts, 197 and 1948, that added together give a triangular number (2145 = T₆₅).

The spelling of 1971948 in words is "one million, nine hundred seventy-one thousand, nine hundred forty-eight".