1971105 has 16 divisors (see below), whose sum is σ = 3171264. Its totient is φ = 1045440.

The previous prime is 1971091. The next prime is 1971107. The reversal of 1971105 is 5011791.

1971105 is nontrivially palindromic in base 14.

1971105 is a nontrivial binomial coefficient, being equal to C(1986, 2).

It is not a de Polignac number, because 1971105 - 2⁷ = 1970977 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1971107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4767 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (198204).

2^1971105 is an apocalyptic number.

1971105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1971105 is the 1985-th triangular number and also the 993-rd hexagonal number.

It is an amenable number.

1971105 is a deficient number, since it is larger than the sum of its proper divisors (1200159).

1971105 is a wasteful number, since it uses less digits than its factorization.

1971105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736.

The product of its (nonzero) digits is 315, while the sum is 24.

The square root of 1971105 is about 1403.9604695290. The cubic root of 1971105 is about 125.3824022883.

Adding to 1971105 its reverse (5011791), we get a palindrome (6982896).

The spelling of 1971105 in words is "one million, nine hundred seventy-one thousand, one hundred five".